摘要
本文利用半等价算子ε_i和相等化算子δ_i研究了复杂系统的聚类问题;阐述了分析运筹复杂系统的δ(1,3)解耦原理、对偶转化原理和大系统分解原理;详细讨论了复杂系统的连通性与解耦性并提供了有关定理.最后,利用泛系聚类方法讨论了复杂系统的层次分析.
In this paper, by use of equivalence operators and semi-equivalence operators e, we study the clustering problems of complex systems, present 5(1,3) disconnection principle, dual transformation principle and large-scale systems decomposition principle for analizing and operating complex systems, discuss interconnectivity and disconnectivity of complex systems in detail and present some related theorems. Finally, we discuss the levels of systems according to pansystems clustering approach proposed in this paper.
出处
《应用数学和力学》
CSCD
北大核心
1992年第6期489-495,共7页
Applied Mathematics and Mechanics
基金
兰州大学重大基金课题"复杂系统的建模原理与方法"资助
关键词
半等价算子
泛系聚类
运筹复杂系统
semi-equivalence operator, equivalence operator, pansystems clustering,interconnectivity, disconnectivity
